What is tofraction 0.09375 ?

The solution to tofraction 0.09375 is 3/32

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Popular >

Convert to a Simplified Fraction 0.09375

Solution

convert to fraction

0.09375

Solution

\frac{3}{32}

Solution steps

0.09375

Multiply and divide by 10 for every number after the decimal point.

There are

5

digits to the right of the decimal point, therefore multiply and divide by

100000

= \frac{0.09375 \cdot 100000}{100000}

= \frac{9375}{100000}

Reduce the fraction

\frac{9375}{100000} : \frac{3}{32}

\frac{9375}{100000}

Find a common factor of

9375

and

100000

in order to cancel it out

Greatest Common Divisor of

9375, 100000 : 3125

9375, 100000

Greatest Common Divisor (GCD)

Prime factorization of

9375 : 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

9375

9375

divides by

39375 = 3125 \cdot 3

= 3 \cdot 3125

3125

divides by

53125 = 625 \cdot 5

= 3 \cdot 5 \cdot 625

625

divides by

5625 = 125 \cdot 5

= 3 \cdot 5 \cdot 5 \cdot 125

125

divides by

5125 = 25 \cdot 5

= 3 \cdot 5 \cdot 5 \cdot 5 \cdot 25

25

divides by

525 = 5 \cdot 5

= 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

3, 5

are all prime numbers, therefore no further factorization is possible

= 3 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

Prime factorization of

100000

The prime factors common to

9375, 100000

are

= 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5

Multiply the numbers:

5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 = 3125

= 3125

Factor out

3125

from the numerator and the denominator

9375 = 3125 \cdot 3, 100000 = 3125 \cdot 32

= \frac{3125 \cdot 3}{3125 \cdot 32}

Cancel the common factor:

3125

= \frac{3}{32}

= \frac{3}{32}

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\frac{24}{11}

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\frac{62}{4}

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Frequently Asked Questions (FAQ)

What is tofraction 0.09375 ?
The solution to tofraction 0.09375 is 3/32